Search a number
-
+
221311123400 = 23521106555617
BaseRepresentation
bin1100111000011100101…
…0111011111111001000
3210011020112220220221002
43032013022323333020
512111221121422100
6245400253234132
721663203340053
oct3160712737710
9704215826832
10221311123400
11859483a5684
1236a84792948
1317b3c527a73
14a9d6581a9a
155b5437b2d5
hex33872bbfc8

221311123400 has 24 divisors (see below), whose sum is σ = 514548362370. Its totient is φ = 88524449280.

The previous prime is 221311123399. The next prime is 221311123403. The reversal of 221311123400 is 4321113122.

It can be written as a sum of positive squares in 3 ways, for example, as 211542963844 + 9768159556 = 459938^2 + 98834^2 .

It is a super-2 number, since 2×2213111234002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (221311123403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553277609 + ... + 553278008.

Almost surely, 2221311123400 is an apocalyptic number.

221311123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311123400 is an abundant number, since it is smaller than the sum of its proper divisors (293237238970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221311123400 is a wasteful number, since it uses less digits than its factorization.

221311123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106555633 (or 1106555624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221311123400 its reverse (4321113122), we get a palindrome (225632236522).

The spelling of 221311123400 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1106555617 2213111234 4426222468 5532778085 8852444936 11065556170 22131112340 27663890425 44262224680 55327780850 110655561700 221311123400